5. The man's problem is that he could not get a picture of the pond because of the rain.
--> Mention taking a picture is for assignment
The woman suggests two possible solutions to the problem. The first suggestion is to take the photo in the rainy condition. The second suggestion is to request an extension to the professor.
I think the second suggestion is better for him. This is because everyone in the class is affected by the rain. So there may be many students who could not get the most desirable picture that they originally planned. The professor may be able to consider the uncontrolled situation for students. Also taking photos in the rainy weather is not what the man wanted to do. He has an definite image with vivid color that he wants to present.
For these reasons, I would recommend the second option for him.
* Request extension에 대한 정보가 보다 필요합니다.
Deadline 시기를 늘린다는 표현이 더 적절해 보입니다.
Everyone in the class가 affected by rain은 어떤의미로 서술하신 것인지,
추가적으로 보완해주시는 것이 좋습니다.